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Nonlinear analysis of vehicle control actuations based on controlled invariant sets

100%

Németh B., Gáspár P., Péni T.

International Journal of Applied Mathematics and Computer Science

2016

tom 26

nr 1

31-43

In the paper, an analysis method is applied to the lateral stabilization problem of vehicle systems. The aim is to find the largest state-space region in which the lateral stability of the vehicle can be guaranteed by the peak-bounded control input. In the analysis, the nonlinear polynomial sum-of-squares programming method is applied. A practical computation technique is developed to calculate the maximum controlled invariant set of the system. The method calculates the maximum controlled invariant sets of the steering and braking control systems at various velocities and road conditions. Illustration examples show that, depending on the environments, different vehicle dynamic regions can be reached and stabilized by these controllers. The results can be applied to the theoretical basis of their interventions into the vehicle control system.

On the book ``An Introduction to Differential Equations: Stochastic Modeling, Methods and Analysis'' by A.G.Ladde and G.S.Ladde

63%

Jurlewicz A.

Mathematica Applicanda

2015

tom 43

nr 2

Niniejsza książka stanowi kontynuację podręcznika, tych samych autorów, przedstawiającego tematykę równań różniczkowych. Tom 1. (Deterministic Modeling, Methods and Analysis) dotyczył teorii klasycznych, natomiast omawiany tu tom 2. prezentuje ideę równań różniczkowych stochastycznych i ich zastosowania w modelowaniu matematycznym. Książka adresowana jest głównie do studentów i doktorantów kierunków interdyscyplinarnych.

The book under review presents advanced tools of stochastic calculus and stochastic differential equations of Ito type, illustrated by several problems and applications. It is a continuation of Volume 1: Deterministic Modeling, Methods and Analysis. It is addressed to interdisciplinary graduate/undergraduate students and to interdisciplinary young researchers.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Mathematica Applicanda

1 Gáspár P.

1 Jurlewicz A.

1 Németh B.

1 Péni T.

1 2016

1 2015

Wyniki wyszukiwania

Nonlinear analysis of vehicle control actuations based on controlled invariant sets

On the book ``An Introduction to Differential Equations: Stochastic Modeling, Methods and Analysis'' by A.G.Ladde and G.S.Ladde